Nature is inherently noisy and nonlinear‎.‎ It is noisy in the sense that all macroscopic systems are subject to the fluctuations of their environments and also to internal fluctuations‎.‎ It is nonlinear in the sense that the restoring force on a system displaced from equilibrium does not usually vary linearly with the size of the displacement‎.‎ To calculate the properties of stochastic ‎(‎noisy‎)‎ nonlinear systems is in general extremely difficult‎,‎ although considerable progress has been made in the past‎.‎ The three volumes that make up Noise in Nonlinear Dynamical Systems comprise a collection of specially written authoritative reviews on all aspects of the subject‎,‎ representative of all the major practitioners in the field‎.‎ The first volume deals with the basic theory of stochastic nonlinear systems‎.‎ It includes an historical overview of the origins of the field‎,‎ chapters covering some developed theoretical techniques for the study of coloured noise‎,‎ and the first English‎-language translation of the landmark 1933 paper by Pontriagin‎,‎ Andronov and Vitt‎.‎